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A sonometer wire of density rho and radi...

A sonometer wire of density `rho` and radius r is held between two bridges at a distance L apart . Tension in the wire is T. then the fundamental frequency of the wire will be

A

`(1)/(2L)sqrt((pia^(2))/(T rho))`

B

`(1)/(2L)sqrt((Trho)/(pia^(2)))`

C

`(1)/(2L)sqrt((T)/(pia^(2)))`

D

`(1)/(2L)sqrt((T)/(pia^(2)rho))`

Text Solution

Verified by Experts

The correct Answer is:
D
`n=(1)/(2L)sqrt((T)/(mu))=(1)/(2L)sqrt((T)/(rhopia^(2)))`
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